If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.
[tex]-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b[/tex]
The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is [tex]y = 2x - 3[/tex].